lowerCamelCase__  =					[
    [0, 16, 13, 0, 0, 0],
    [0, 0, 10, 12, 0, 0],
    [0, 4, 0, 0, 14, 0],
    [0, 0, 9, 0, 0, 20],
    [0, 0, 0, 7, 0, 4],
    [0, 0, 0, 0, 0, 0],
]


def 				lowerCAmelCase__       (			a__    ,     a__    ,     a__    ,     a__ )      ->Any:




  '''simple docstring'''

  _UpperCamelCase           =    [False] * len(a__ )
  _UpperCamelCase           =    [s]
  _UpperCamelCase           =    True

  while queue:
    _UpperCamelCase           =    queue.pop(0 )
    for ind in range(len(graph[u] ) ):
      if visited[ind] is False and graph[u][ind] > 0:
        queue.append(a__ )
        _UpperCamelCase           =    True
        _UpperCamelCase           =    u

  return visited[t]


def 				lowerCAmelCase__       (			a__    ,     a__    ,     a__ )      ->Dict:




  '''simple docstring'''

  _UpperCamelCase           =    [-1] * (len(a__ ))
  _UpperCamelCase           =    0
  _UpperCamelCase           =    []
  _UpperCamelCase           =    [i[:] for i in graph]  # Record original cut, copy.
  while bfs(a__    ,     a__    ,     a__    ,     a__ ):
    _UpperCamelCase           =    float("Inf" )
    _UpperCamelCase           =    sink

    while s != source:
      # Find the minimum value in select path
      _UpperCamelCase           =    min(a__    ,     graph[parent[s]][s] )
      _UpperCamelCase           =    parent[s]

    max_flow += path_flow
    _UpperCamelCase           =    sink

    while v != source:
      _UpperCamelCase           =    parent[v]
      graph[u][v] -= path_flow
      graph[v][u] += path_flow
      _UpperCamelCase           =    parent[v]

  for i in range(len(a__ ) ):
    for j in range(len(graph[0] ) ):
      if graph[i][j] == 0 and temp[i][j] > 0:
        res.append((i, j) )

  return res


if __name__ == "__main__":
   print(mincut(test_graph, source=0, sink=5))





from math import isqrt, loga


def 				lowerCAmelCase__       (			a__ )      ->list[int]:




  '''simple docstring'''

  _UpperCamelCase           =    [True] * max_number
  for i in range(2    ,     isqrt(max_number - 1 ) + 1 ):
    if is_prime[i]:
      for j in range(i**2    ,     a__    ,     a__ ):
        _UpperCamelCase           =    False

  return [i for i in range(2    ,     a__ ) if is_prime[i]]


def 				lowerCAmelCase__       (			a__ = 800_800    ,     a__ = 800_800 )      ->int:




  '''simple docstring'''

  _UpperCamelCase           =    degree * loga(a__ )
  _UpperCamelCase           =    int(a__ )
  _UpperCamelCase           =    calculate_prime_numbers(a__ )

  _UpperCamelCase           =    0
  _UpperCamelCase           =    0
  _UpperCamelCase           =    len(a__ ) - 1
  while left < right:
    while (
        prime_numbers[right] * loga(prime_numbers[left] )
        + prime_numbers[left] * loga(prime_numbers[right] )
        > upper_bound
    ):
      right -= 1
    hybrid_integers_count += right - left
    left += 1

  return hybrid_integers_count


if __name__ == "__main__":
   print(F"{solution() = }")




